arXiv subjects

Ken Sumi

Publications and source records attributed to Ken Sumi.

2 recordsLinked to original sources

arXiv2021

Riemann-Roch inequality for smooth tropical toric surfaces

For a divisor $D$ on a tropical variety $X$, we define two amounts in order to estimate the value of $h^{0}(X,D)$, which are described by terms of global sections and computed more easily than $h^{0}(X,D)$. As an application of its estimation, we show that a Riemann-Roch inequality holds for smooth tropical toric surfaces.

math.AG↗

arXiv2020

Tropical Theta Functions and Riemann-Roch Inequality for Tropical Abelian Surfaces

We show that the space of theta functions on tropical tori is identified with a convex polyhedron. We also show a Riemann-Roch inequality for tropical abelian surfaces by calculating the self-intersection numbers of divisors.

math.AG↗